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Desmos graoh

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The ball would have traveled 32.805 feet.

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How far would the ball have traveled if Josh didn't catch the ball?

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Info: Reed throws the ball 15 yards from the goal post and the ball starts 5.833 feet above the ground when he releases it. It goes through the goal post 20 feet above the ground, 15 yards away from Reed and Josh. Josh catches it 5.833 feet above the ground and 30 feet away from Reed.

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** first matrix (A matrix) is multiplied by the -1 power to make the inverse, then multiplied by the y values (B matrix) to then get a matrix with a,b, and the c value for your equation

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https://youtu.be/RgEzHP7G2zQ

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Y intercept= (0,  5833/1000) which represents where reed through the ball
The vertex=  (15,20) which represents the highest point that the ball was in the air.

Solutions:  32.805 ---- Where the ball would  hit the ground if no one caught it and -2.822 where the ball would be thrown if  was thrown from the ground.